A class of bounded operators on Sobolev spaces
Korry, S
HAL, hal-00693456 / Harvested from HAL
Text on HAL
We describe a class of nonlinear operators which are bounded on the Sobolev spaces H-P(S)(R-n), for 0 less than or equal to s less than or equal to 1 and 1 < p < infinity. As a corollary, we prove that the Hardy-Littlewood maximal operator is bounded on H-P(S) (R-n), for 0 less than or equal to s less than or equal to 1 and 1 < p < infinity; this extends the result of J. Kinnunen [7], valid for s = 1.
Publié le : 2004-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00693456,
     author = {Korry, S},
     title = {A class of bounded operators on Sobolev spaces},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00693456}
}

Korry, S. A class of bounded operators on Sobolev spaces. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00693456/